note that the zeroes should be x = 1 and x = - 2 not x = - 1 and x = 2
the factors are then ( x - 1 ) and (x + 2)
and x³ - 4x² - 7x + 10 = (x - 1 )(x + 2) = x² + x - 2
thus x² + x - 2 is a factor
dividing x³ - 4x² - 7x + 10 by x² + x - 2 gives x - 5
the third zero is x = 5
check : (5)³ -4(5)² - 7(5) + 10 = 125 - 100 - 35 + 10 = 0
(x + 3)^2 + (x + 4)^2
= x^2 + 6x + 9 + x^2 + 8x + 16
= 2x^2 + 14x + 25
= 2(x^2 + 7x) + 25
= 2[(x + 7/2)^2 - 49/4] + 25
= 2(x + 7/2)^2 - 98/4 + 25
= 2(x + 7/2)^2 + 1/2
Its B
Yea because every input has only one output
Answer:
Step-by-step explanation:
The answer would be to find the LCM of both 3 and 5, which is 15. The 15th customer would receive both a mug and a t-shirt. Let's call mugs "x" and shirts "o" and line them up. The bold x's and o's are the lucky winners:
x x x x x x x x x x x x x x x
o o o o o o o o o o o o o o o
The last x and the last o are both bold for the first time right there, at the 15th letter of each.
865 is the answer of this question...
